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Finding the Fourth Proportional to 6,516.72, 9,774.95 and 1,586.39

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Solution

The fourth proportional to 6,516.72, 9,774.95 and 1,586.39 is: 2,379.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,516.72 : 9,774.95 = 1,586.39 : x
  2. Step 2: Convert to fraction form
    6,516.72/9,774.95 = 1,586.39/x
  3. Step 3: Cross multiply
    6,516.72x = 9,774.95 × 1,586.39
  4. Step 4: Simplify right side
    6,516.72x = 15,506,826.12
  5. Step 5: Solve for x
    x = 15,506,826.12/6,516.72
  6. Step 6: Final answer
    x = 2,379.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.